@article{ASENS_1974_4_7_2_155_0, author = {Rothschild, Linda Preiss and Wolf, Joseph A.}, title = {Representations of semisimple groups associated to nilpotent orbits}, journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure}, volume = {7}, year = {1974}, pages = {155-173}, doi = {10.24033/asens.1264}, mrnumber = {50 \#10158}, zbl = {0307.22012}, language = {en}, url = {http://dml.mathdoc.fr/item/ASENS_1974_4_7_2_155_0} }
Rothschild, Linda Preiss; Wolf, Joseph A. Representations of semisimple groups associated to nilpotent orbits. Annales scientifiques de l'École Normale Supérieure, Tome 7 (1974) pp. 155-173. doi : 10.24033/asens.1264. http://gdmltest.u-ga.fr/item/ASENS_1974_4_7_2_155_0/
[1] Polarization and Unitary Representations of Solvable Lie Groups (Inventiones Math., 14, 1971, p. 255-354). | MR 45 #2092 | Zbl 0233.22005
and ,[2] On induced representations, II : Infinitesimal induction (Amer. J. Math., vol. 83, 1961, p. 499-512). | MR 26 #2885 | Zbl 0139.07702
,[3] La géométrie des groupes simples (Annali di Mat., vol. 4, 1927, p. 209-256). | JFM 53.0392.03
,[4] Sur l'algèbre enveloppante d'une algèbre de Lie résoluble (Bull. Soc. Math. Fr. t. 94, 1970, p. 201-208). | MR 44 #270 | Zbl 0202.04101
and ,[5] Caractères des groupes et des algèbres de Lie résolubles (Ann. scient. Éc. Norm. Sup., t. 3, 1970, p. 23-74). | Numdam | MR 42 #4672 | Zbl 0223.22016
,[6] Sur les extensions des représentations irréductibles des groupes de Lie nilpotents (Ann. scient. Éc. Norm. Sup., t. 5, 1972, p. 71-120). | Numdam | MR 46 #1966 | Zbl 0241.22030
,[7] Centralizers of unipotent elements in semisimple algebraic groups (J. Algebra, vol. 23, 1972, p. 137-163). | MR 46 #7342 | Zbl 0247.20053
,[8] On some applications of the universal enveloping algebra of a semisimple Lie algebra (Trans. Amer. Math. Soc., vol. 70, 1951, p. 28-96). | MR 13,428c | Zbl 0042.12701
,[9] Harmonic analysis on semisimple Lie groups (Bull. Amer. Math. Soc., vol. 76, 1970, p. 529-551). | MR 41 #1933 | Zbl 0212.15101
,[10] On the theory of the Eisenstein integral, Springer-Verlag (Lecture Notes in Math., vol. 266, 1971, p. 123-149). | MR 53 #3200 | Zbl 0245.22019
,[11] Unitary representations of nilpotent Lie groups (Uspeki Mat. Nauk., 17, 1962, p. 57-110). | MR 25 #5396 | Zbl 0106.25001
,[12] The principal three dimensional subgroup and the Betti numbers of a complex simple Lie group (Amer. J. Math., vol. 81, 1959, p. 973-1032). | MR 22 #5693 | Zbl 0099.25603
,[13] Lie group representations on polynomial rings (Amer. J. Math., vol. 85, 1963, p. 327-404). | MR 28 #1252 | Zbl 0124.26802
,[14] Quantization and unitary representations, Springer-Verlag (Lecture Notes in Math., vol. 170, 1970, p. 87-207). | MR 45 #3638 | Zbl 0223.53028
,[15] Orbits and representations associated with symmetric spaces (Amer. J. Math., vol. 93, 1971, p. 753-809). | MR 47 #399 | Zbl 0224.22013
and ,[16] Quelques remarques sur les groupes de Lie algébriques réels (J. Math. Soc. Japan, vol. 16, 1964, p. 419-446). | MR 32 #1292 | Zbl 0133.28706
,[17] Representations of solvable and nilpotent groups and harmonic analysis on nil- and solvmanifolds (Amer. Math. Soc. Proceedings of Symposia in Pure Math., vol. 26, 1973, p. 3-44). | MR 52 #5871 | Zbl 0292.22015
,[18] On polarizations of certain homogeneous spaces (Hiroshima Math. J., vol. 2, 1972, p. 445-482). | MR 49 #5236a | Zbl 0267.22011
and ,[19] On the unitary representations of exponential groups (J. Functional Analysis, vol. 2, 1968, p. 73-113). | MR 37 #4205 | Zbl 0172.18502
,[20] Characters of algebraic solvable groups (J. Functional Analysis, vol. 3, 1969, p. 435-494). | MR 40 #1539 | Zbl 0186.20004
[21] Lie group representations associated to symmetric spaces, thesis, M. I. T., 1968.
,[22] Polarizations of certain homogeneous spaces and most continuous principal series (Hiroshima Math. J., vol. 2, 1972, p. 483-533). | MR 49 #5236b | Zbl 0267.22012
,[23] Harmonic Analysis on Semisimple Lie Groups I, II (Grundlehren Math. Wissensch., vol. 188, and 189, Springer-Verlag, 1972). | Zbl 0265.22020
,[24] The action of a real semisimple group a on complex flag manifold, I : Orbit structure and holomorphic arc components (Bull. Amer. Math. Soc., vol. 75, 1969, p. 1121-1237). | MR 40 #4477 | Zbl 0183.50901
,[25] The action of a real semisimple group on a complex flag manifold, II : Unitary representations on partially holomorphic cohomology spaces [Memoirs Amer. Math. Soc., Number 138, 1974]. | MR 52 #14160 | Zbl 0288.22022
,[26] Partially harmonic spinors and representations of reductive Lie groups [J. Funct. Anal., vol. 15, 1974, p. 117-154]. | MR 52 #14161 | Zbl 0279.22009
,[27] Représentations des Groupes de Lie Résolubles, Dunod, Paris, 1972. | MR 56 #3183 | Zbl 0248.22012
, , , , , et ,